134- DE MOTV LVNAE 



r -4-Qp/>-f-2Qj>?coCu4-Q<7'?cof.tt 2 '] 



i _f-» ;/ p 4-««^cof.o) -««^rcof.w 2 ! , _ rcoft&) ^ 



| p — nnprcof.u — Prrcofw 2 |* 



(, " -h 2 P r cof. u J 



Hic primo flatuatur nn{pr — q)—i?r-\-iQpq, de- 

 inde fit Qjp + nnp-? — -Qqq-\nnqr~\-?rr, vt fiat 



V(Qt*-*-»»*-P) = ^5^E— Tin. u ideoque 



__ -i/ p —.dCpVXCLPf-f- tnp — P) fj n u 



jc ' -^ — " i — r co^xt 



vnde fequentes determinationes deducentur. 



XVII. Quaeramus primo rationem inter P et 

 Q quae ob nn zz. zlL pSf* ex aequatione 

 Qpp-\-nnp—?=z—Qqq-\-nnqr-\-?rr 



ita reperitur : • 



Q_(p z r-pqqr-\-ppq-q z )—?(-pr-\-pr z -q-\-qtr) 



quae per pr-\-q diuifa dat 



Q(p/>-??)--P( l -rr) feu 0.^=^7^. 



Hinc prior determinatio nn(pr~q)^i?r-\-zQpq 

 praebet 



.- sPp /7 (.— _r__) . 2?{ppr-qqr—pq -hPqrr) 



nn(pr-q)~z"r—2j^ qq — fp—qq 



et per pr-q diuidendo nn—^pZ.-^ , ita vt iit 



.££_______ _J t ____r — "^% 



Deinde 



